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1010300223140 = 2251361143344453
BaseRepresentation
bin11101011001110101001…
…01011111111010100100
310120120202120002222022222
432230322211133322210
5113023043324120030
62052043040011512
7132664116130055
oct16547245377244
93516676088288
101010300223140
1135a514156aaa
12143977600b98
137436a231530
1436c823da72c
151b430b793e5
hexeb3a95fea4

1010300223140 has 96 divisors (see below), whose sum is σ = 2323961944416. Its totient is φ = 366654320640.

The previous prime is 1010300223103. The next prime is 1010300223151. The reversal of 1010300223140 is 413220030101.

It can be written as a sum of positive squares in 16 ways, for example, as 672439360576 + 337860862564 = 820024^2 + 581258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22705154 + ... + 22749606.

It is an arithmetic number, because the mean of its divisors is an integer number (24207936921).

Almost surely, 21010300223140 is an apocalyptic number.

1010300223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010300223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161980972208).

1010300223140 is an abundant number, since it is smaller than the sum of its proper divisors (1313661721276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010300223140 is a wasteful number, since it uses less digits than its factorization.

1010300223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45969 (or 45967 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1010300223140 its reverse (413220030101), we get a palindrome (1423520253241).

The spelling of 1010300223140 in words is "one trillion, ten billion, three hundred million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1433 1586 2866 3172 3965 5732 7165 7930 14330 15860 18629 28660 37258 44453 74516 87413 88906 93145 174826 177812 186290 222265 349652 372580 437065 444530 577889 874130 889060 1136369 1155778 1748260 2272738 2311556 2711633 2889445 4545476 5423266 5681845 5778890 10846532 11363690 11557780 13558165 22727380 27116330 35251229 54232660 63701149 70502458 127402298 141004916 176256145 254804596 318505745 352512290 637011490 705024580 828114937 1274022980 1656229874 3312459748 3885770089 4140574685 7771540178 8281149370 15543080356 16562298740 19428850445 38857700890 50515011157 77715401780 101030022314 202060044628 252575055785 505150111570 1010300223140